Grokking Dynamic Programming Patterns for Coding Interviews
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Longest Bitonic Subsequence
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Problem Statement

Given a number sequence, find the length of its Longest Bitonic Subsequence (LBS). A subsequence is considered bitonic if it is monotonically increasing and then monotonically decreasing.

Example 1:

Input: {4,2,3,6,10,1,12} Output: 5 Explanation: The LBS is {2,3,6,10,1}. 

Example 2:

Input: {4,2,5,9,7,6,10,3,1} Output: 7 Explanation: The LBS is {4,5,9,7,6,3,1}. 

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